What is ((8x^6)/(27y^9))^{1/3} ?

The solution to ((8x^6)/(27y^9))^{1/3} is (2x^2)/(3y^3)

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simplify ((8x^6)/(27y^9))^{1/3}

simplify

(\frac{8 x ^{6}}{27 y ^{9}})^{\frac{1}{3}}

\frac{2 x ^{2}}{3 y ^{3}}

Solution steps

(\frac{8 x ^{6}}{27 y ^{9}})^{\frac{1}{3}}

Apply exponent rule:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

= \frac{( 8 x ^{6} ) ^{\frac{1}{3}}}{( 27 y ^{9} ) ^{\frac{1}{3}}}

Simplify

(8 x^{6})^{\frac{1}{3}} : 2 x^{2}

= \frac{2 x ^{2}}{( 27 y ^{9} ) ^{\frac{1}{3}}}

Simplify

(27 y^{9})^{\frac{1}{3}} : 3 y^{3}

= \frac{2 x ^{2}}{3 y ^{3}}

3 x^{2} + 12 x + 9

2 lo g_{2} (3) - lo g_{2} (36)

5 x + 90 \geq 240

50 a^{6} b^{7}

(1 5^{\frac{1}{5}})^{5}

What is ((8x^6)/(27y^9))^{1/3} ?
The solution to ((8x^6)/(27y^9))^{1/3} is (2x^2)/(3y^3)